1. Given: 3(x - 6) + 10 = 31
Prove: x = 13

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

[tex]y=mx+b[/tex]

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]

Answer:

infinite number of solutions

Step-by-step explanation:

y = -6x + 2 . . . . . . . . (1)

-12x - 2y = -4 . . . . . . (2)

Putting (1) into (2), we have

-12x - 2(-6x + 2) = -4

-12x + 12x - 4 = -4

-4 = -4

Therefore, the system has infinite number of solutions.

I hope this helps you! :3 :)

Answer:

infinte number of solutions

Step-by-step explanation:

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

Given parameters:

Number of equally sized slices = 10

Red slices  = 2

Yellow slices  = 4

Blue slices  = 4

Unknown:

Probability that the dial stops on a red or yellow color  =?

Solution:

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome }{Total outcome}[/tex]  

   This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.

Pr(red  or yellow) = Pr(red) + Pr(Yellow)

                             = [tex]\frac{2}{10}[/tex]  + [tex]\frac{4}{10}[/tex]

                              = [tex]\frac{6}{10}[/tex]

                              = [tex]\frac{3}{5}[/tex]

The probability of red or yellow is [tex]\frac{3}{5}[/tex]

Answer:

A.

Step-by-step explanation:

x is what is representing the unknown number. So, both are multiplying x (the unknown number) by 7 and 5, respectively, and adding that number by 32 and 92, respectively.

Answer:

whats the choice dudududududeudeudeududueduedudeuduededeudeudueduedeudeud ededeededede

Step-by-step explanation:

Step-by-step explanation:

so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.

10(0)+4(10)=40

Answer:

Step-by-step explanation:

substitute the value of x,y given into the formula, that equates 40.

10x + 4y = 40

let x = 0, y = 10  ;         10(0)  + 4(10)   = 40     √

let x = 3, y = 2.5 ;         10(3)  + 4(2.5) ≠ 40     x

let x = -2, y = 15  ;         10(-2) + 4(15)   ≠ 40    x

let x = 2, y = 5     ;        10(2)   + 4(5)    ≠ 40    x

therefore, (0, 10) is the right answer

Answer:

The ratio of gold medals to the total number of medals that the team won is 34 to 103.

The correct option is B. 34 to 103

Step-by-step explanation:

From the question, the team of one nation has won 34 Gold, 30 Silver, and 39 Bronze medals.

To determine the ratio of gold medals to the total number of medals that the team won,

First, we will determine the total number of medals that the team won, which is the sum of the numbers of each medal won. That is

Total number of medals = 34 + 30 + 39 = 103

Therefore, total number of medals = 103

Now, for the ratio of gold medals to the total number of medals that the team won

Number of gold medals won = 34

Hence, the ratio of gold medals to the total number of medals that the team won is 34 to 103

Answer:

Square 18.

Step-by-step explanation:

First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.

Hope this helps!

Answer:

-4, 1/6, sq rt 8, 4.3

Step-by-step explanation:

1/6=.167

sq rt8= 2.82

Step-by-step explanation:

its c because ppl eheueebeuebeue eueeb

Answer:

8%

Step-by-step explanation:

divide number of teenagers by total and the multiply by 100... this is very basic

Answer: 8

Step-by-step explanation:

Answer:

1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation:

Just make sure the sign is adding and the w and p are in the right spots

Answer: 1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation: did the test n got it correct, hope this helped :)

Answer:

Radius is 12 (24/2)

Diameter is 24 (a straight line passing from side to side through the center of a circle)

Answer:

A) 2

Step-by-step explanation:

19=2x-15

19-15=4

4=2x

4÷2=2

×=2

Step-by-step explanation:1,200x 0.06 interest= 72.

She paid it over the course of 9 months, so 72x9= 648.

Mira pay $1,254 the bank back all together.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

Mira borrowed $1,200 from the bank to help pay rent.

And, The bank charged 6% interest over 9 months.

Now, We know that;

⇒ Simple interest = PRT / 100

Where, P is principle amount, R is rate and T is time.

So, We get;

⇒ Simple interest = PRT / 100

⇒ Simple interest = 1200 × 6 × 9/12 × 1/100

⇒ Simple interest = $54

Hence, The total amount to pay back to bank is,

⇒ Amount = Principle amount + Interest

⇒ Amount = $1,200 + $54

⇒ Amount = $1,254

Learn more about the simple interest visit;

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Answer:

the answer is D :3

Step-by-step explanation:

you must use the dividen to answer the question

Answer:

x equals to 9

9

x is 9

x is 9

Answer:

504km/h

Step-by-step explanation:

there are 60 minutes in an hour.

8.4kmx60min= 504km/h

Answer:$3850

Step-by-step explanation:fist do 5,500 X 1 =500

Then do 500 X 7 = 3850

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

Answer:

Corresponding angles are congruent, corresponding sides are porportional, and the triangles are similar.

Step-by-step explanation:

Since angles on a triangle add up to 180 degrees, we can figure out that both triangles' angles are 55, 35, and 90. That means the triangles are similar, corresponding sides are porportional, and also means the corresponding angles are congruent. The 4th one cannot be guaranteed, as the triangles could be of different sizes.

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

The required simplified value of the given expression is x = 1/3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3

Thus, the required simplified value of the given expression is x = 1/3.

Learn more about simplification here: https://brainly.com/question/12501526

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Answer:

0.616m

Step-by-step explanation:

Answer:

y(0) = -39

Step-by-step explanation:

15 * 3 = 45

6- 45 = -39